For a poset, this concept is the size of the smallest realizer. Topological covers are central to the Lebesgue and Hausdorff definitions of this concept. One generalization defines this characteristic as the trace of the identity map. For any linear map, this value for the image, plus this value for
For a poset, this concept is the size of the smallest realizer. Topological covers are central to the Lebesgue and Hausdorff definitions of this concept. One generalization defines this characteristic as the trace of the identity map. For any linear map, this value for the image, plus this value for the kernel, gives this value for the domain. For a vector space, it is defined as the number of elements in any basis. In Cartesian space, it is the number of coordinates needed to specify a point. For 10 points, name this number, which is 3 for a cube and 2 for a square.
For a poset, this concept is the size of the smallest realizer.
dimension 